SOLUTION: A gardener will plant grass in a circular, flat garden. The part of the garden where the gardener will plant the grass is represented by the shaded area in the figure shown. ht

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A gardener will plant grass in a circular, flat garden. The part of the garden where the gardener will plant the grass is represented by the shaded area in the figure shown. ht      Log On

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Question 1181626: A gardener will plant grass in a circular, flat garden. The part of the garden where the gardener will plant the grass is represented by the shaded area in the figure shown.
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- The garden has a diameter of 18 feet.
- There is a square concrete slab in the center of the garden. Each side of the square measures 4 feet.
- The cost of the grass is $0.99 per square foot.
Determine the total cost in dollars, of the grass that the gardener needs. Use π=3.14.

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The diameter is 18 feet, so the radius is 9 feet.
The area of the whole circular garden is pi times the square of the radius.
The side of the square is 4 feet.
The area of the square is the square of the side length.
Subtract the area of the concrete slab from the area of the whole garden to get the area of grass.
Multiply the area of the grass (it is in square feet) times the cost per square foot of the grass.

All easy calculations.... Do them.